Cremona's table of elliptic curves

9702 = 2 · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	9702bt	Isogeny class
Conductor	9702	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	373667459353938288 = 24 · 314 · 79 · 112	Discriminant
Eigenvalues	2- 3-  0 7- 11+  4  4  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-31869095,69255238511]	[a1,a2,a3,a4,a6]
j	121681065322255375/12702096	j-invariant
L	3.7187938834775	L(r)(E,1)/r!
Ω	0.23242461771734	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	77616fx2 3234m2 9702bu2 106722ct2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702bt2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	0	-	+	4	4	0	0	-2	4	10	-12	4	4	10	-4	-4	4	8	-4	8	-16	8	8

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Quadratic twists for elliptic curve 9702bt2

-4	-3	-7	-11
77616fx2	3234m2	9702bu2	106722ct2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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